5562130

Appears in sequences

• de Bruijn's S(4,n).at n=4A050983
• a(n) = Sum_{k=0..n} C(n,k)^4*(-1)^k.at n=8A228304
• G.f.: Sum_{n>=0} R_n(x+x*y) * x^(2*n)*y^n / (1-x-x*y)^(4*n+1) = Sum_{n>=0} Sum_{k=0..n} C(n,k)^4 * x^n*y^k, where R_n(x+x*y) equals the n-th row polynomial R_n(z) = Sum_{k=0..2*n} T(n,k)*z^k at z = x+x*y.at n=16A248600
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{j=0..2*n} (-1)^(n+j) * binomial(2*n,j)^k.at n=40A350594
• a(n) = Sum_{k=0..2*n} (-1)^(n+k) * binomial(2*n,k)^n.at n=4A350595